Unbounded regions of Infinitely Logconcave Sequences
Combinatorics
2007-11-16 v2
Abstract
We study the properties of a logconcavity operator on a symmetric, unimodal subset of finite sequences. In doing so we are able to prove that there is a large unbounded region in this subset that is -logconcave. This problem was motivated by the conjecture of Moll and Boros in that the binomial coefficients are -logconcave.
Cite
@article{arxiv.math/0703770,
title = {Unbounded regions of Infinitely Logconcave Sequences},
author = {David Uminsky and Karen Yeats},
journal= {arXiv preprint arXiv:math/0703770},
year = {2007}
}
Comments
12 pages, final version incorporating referee's comments. Now published by the Electronic Journal of Combinatorics http://www.combinatorics.org/index.html